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olya-2409 [2.1K]
2 years ago
11

Suppose a car going 65 mph is traveling north parallel to a train going 50 mph. Once the front of the car is as far north as the

back of the train it takes another three minutes for the front of the car to be further north than the front of the train. How long is the train?​
Mathematics
1 answer:
scoray [572]2 years ago
6 0

Answer:

0.75 Miles

Step-by-step explanation:

To find the answer we have to find the difference in the distance the train and car travelled

65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes

For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes

3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is

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How can the Pythagorean Identity be used to find sin θ, cos θ, or tan θ and the quadrant location of the angle?
Archy [21]

First lets see the pythagorean identities

sin^2 \Theta + cos^2 \Theta =1

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

sin^2 \Theta = 1-cos^2 \Theta => sin \theta = \pm \sqrt{1-cos^2 \Theta}

Now we need to check the sign of sin theta

First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.

So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .

5 0
3 years ago
6 cm equals how many mm?​
olga nikolaevna [1]

Answer:

it's 60 mm

Step-by-step explanation:

hope this is useful! have a wonderful day and God Bless you !!!

7 0
3 years ago
Lara surveyed all of the 11th grade students at her school about the number of languages they speak and whether or not they have
Bingel [31]

Answer:

57.6% have allergies

42.4% have no allergies

Step-by-step explanation:

We only need to consider the students who speak two languages according to the question.

To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).

19/33 = 0.5757 = 57.6%

To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).

14/33 = 0.4242 = 42.4%

Check your work by adding the percentages to make sure they equal 100%

57.6 + 42.4 = 100

6 0
2 years ago
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete
ladessa [460]
Hello! This is actually pretty easy to solve, all you have to do is subtract 28.65 from 24.25 So when you subtract 5 from 5, you get zero. When you subtract 6 from 2, you get 4. When you subtract 8 from 4, you get 4, and when you subtract 2 from 2 you get zero. So all you do is take out the zeros and put the decimal point in the same place it was in before, and this should leave you with your answer!

I hope this helped!

I am, yours most sincerely,
SuperHelperThingy
7 0
3 years ago
Read 2 more answers
HELP PLEASE!! Victoria and Jennifer walk at a different averagr speed. Victoris walks at an average speed of 1 1/5 miles in 1/2
Zanzabum

Answer:

Jennifer

4/15 mph

Step-by-step explanation:

First, we find the two speeds in miles per hour.

Victoria:

1 1/5 mile per 1/2 hour = (1 1/5 mile)/(1/2 hour) = 2 2/5 mph = 2.4 mph

Jennifer:

2/3 mile per 1/4 hour = (2/3 mile)/(1/4 hour) = 8/3 mph = 2 2/3 mph

2 2/3 mph > 2 2/5 mph, so Jennifer's speed is greater.

The difference in speeds in mph is:

2 2/3 - 2 2/5 = 2 10/15 - 2 6/15 = 4/15

5 0
2 years ago
Read 2 more answers
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